Tony is 2/3 as old as Pete; the difference in their age is 4 years. How old is Pete?
If T is the age of Tony, and P is the age of Pete, then:
Tony is 2/3 of Pete
T = P * (2/3)
Tony is four years younger than Pete
P - T = 4
Can you solve for T and P using these equations?
Whats the answer?
What's the answer then?
Please show your work. Let me know where you are getting stuck or confused.
To find out how old Pete is, we can follow these steps:
Step 1: Set up equations
Let's assume Pete's age is represented by "x". Since Tony is 2/3 as old as Pete, Tony's age can be represented as (2/3)x.
Step 2: Write the equation for the given information
The difference in their age is 4 years, which means Tony is 4 years younger than Pete. We can write this equation as (2/3)x = x - 4.
Step 3: Solve the equation
To solve the equation, we can get rid of the fractions by multiplying every term by 3 (to eliminate the denominator):
3 * (2/3)x = 3 * (x - 4)
2x = 3x - 12
Next, we can simplify the equation by subtracting 3x from both sides:
2x - 3x = -12
-x = -12
Then, we can isolate x by multiplying both sides by -1 (to change the sign):
x = 12
Therefore, Pete is 12 years old.